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Question

A set of jobs A, B, C, D, E, F, G, H arrive at time t = 0 for processing on turning and grinding machines. Each jobs needs to be processed in sequence-first on the turning machine and second on the grinding machine, and the grinding must occur immediately after turning. The processing times of the jobs are given by

Job A B C D E F G H
Turning (minutes) 2 4 8 9 7 6 5 10
Grinding (minutes) 6 1 3 7 9 5 2 4

If the makespan is to be minimized, then the optimal sequence in which these jobs must be processed on the turning and grinding machines is

A
B-G-C-H-F-D-E-A
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B
A-D-E-F-H-C-G-B
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C
G-E-D-F-H-C-A-B
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D
A-E-D-F-H-C-G-B
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Solution

The correct option is D A-E-D-F-H-C-G-B
Sequencing,

A E D F H C G B

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